212125100 has 108 divisors (see below), whose sum is σ = 518112672. Its totient is φ = 75292800.

The previous prime is 212125049. The next prime is 212125117. The reversal of 212125100 is 1521212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 568514 + ... + 568886.

Almost surely, 2^212125100 is an apocalyptic number.

212125100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212125100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259056336).

212125100 is an abundant number, since it is smaller than the sum of its proper divisors (305987572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212125100 is a wasteful number, since it uses less digits than its factorization.

212125100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 212125100 is about 14564.5150966313. The cubic root of 212125100 is about 596.3904585246.

Adding to 212125100 its reverse (1521212), we get a palindrome (213646312).

The spelling of 212125100 in words is "two hundred twelve million, one hundred twenty-five thousand, one hundred".